A box contains n quarters and some dimes. The ratio of quarters to dimes is 1:2.
A) Write an expression for the total amount of money in the box.
B) If there are 12 quarters, find the total amount of money in the box.
The expression is 0.25Q + 0.1D dollars for the total amount of money in the box, where Q is quarters and D is a dime. The total amount of money in the box would be $5.40.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
A) Let Q be the number of quarters and D be the number of dimes in the box. We are given that the ratio of quarters to dimes is 1:2, which can be expressed as Q:D = 1:2. Since the ratio is equal, the fraction Q/D is equal to 1/2. We can write this relationship as:
Q/D = 1/2
To find the total amount of money in the box, we need to add the value of all the quarters and dimes. The value of all the quarters is 0.25 x Q dollars and the value of all the dimes is 0.1 x D dollars. The total amount of money in the box is, therefore:
0.25Q + 0.1D dollars
B) If there are 12 quarters in the box, we can plug this value into the expression from part A to find the total amount of money in the box:
0.25 x 12 + 0.1 x D = 3 + 0.1 x D dollars
Since we don't know the value of D, we cannot simplify this expression any further. However, we can use this expression to find the total amount of money in the box for any given value of D. For example, if there are 24 dimes in the box (2 times the number of quarters), the total amount of money in the box would be:
0.25 x 12 + 0.1 x 24 = 3 + 2.4 = $5.40.
To learn more about the Ratio click here:
brainly.com/question/1504221
#SPJ2
How many times greater is the product 4x300 than the product 4x30?
Which number has a terminating decimal expansion 2/7 ,2/11, 5/8
Compare and contrast the methods you can use to multiply a whole number and a decimal
Whether treating the decimal as a whole number or converting it to a fraction, the key lies in preserving the accuracy of the product while considering decimal positions.
Multiplying a whole number by a decimal involves different methods, with the primary goal of determining the product accurately. One method is to treat the decimal as a whole number, ignoring its decimal point initially.
Multiply the whole number as usual, and then consider the decimal point's position in the result. The number of decimal places in the product is equal to the sum of the decimal places in the factors.
Alternatively, one can convert the decimal to a fraction before multiplication. This involves expressing the decimal as a fraction with the denominator being a power of 10.
Afterward, multiply the whole number by the numerator and simplify the fraction if necessary. Both methods yield the same result but may be more intuitive for different individuals. The key is to maintain awareness of decimal positions and convert between decimal and fractional forms as needed.
Write an expression for the calculation divide 15 into thirds and subtract from 14 divided in half.
I what fraction is represented by the tick mark labeled m
The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.
Explanation:Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.
When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).
In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.
least common denomaitor of 1/3 and 1/5
Calculeaza a-b+c stiind ca a-1538=b+718=2000-c=1074
5. Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over 3 years. If he bought the same number of movies each year, how many movies did Joe buy last year?
what is 21.7 divided by 3.5
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?
5.5w + 3.25 = 27.5
5.5w - 3.25 = 27.5
5.5w = 27.5
5.5 - 3.25w = 27.5
Can anyone answer all the ones left, plz show work❤️
the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is the height of the triangle
Answer:
6
Step-by-step explanation:
b is 8ft and 48 divided by 8 is 6
Just awser number 4 for me please
Answer:
7800
Step-by-step explanation:
7782
The 2 is in the ones place.
The 8 is in the tens place.
The 7 at right is in the hundreds place.
The 7 at left is in the thousands place.
We need to round to the hundreds place, so the digits to the right of the hundreds place become zeros.
That means we write this:
7700
Now we look at the leftmost digit we dropped. It was the 8. Since 8 is from 5 to 9, the digit to its left goes up one. The 7 becomes 8.
We get this:
7800
Answer: 7800
Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead, and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?
A student recorded the following plant measurements: 2.31 inches, 3.22 inches, and 3.35 inches. What are the total measurements recorded?
A) 9 inches
B) 8.88 inches
C) 8.9 inches
D) 8.880 inches
To find the area of a ____ multiply half the sum of the bases by the height
Answer:
trapezoid
.
Step-by-step explanation:
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
Please explain! the sooner the better
suppose u= {3,6,9,12,15,18,21} is the universal set and M={3,9,15,21} what is M?
A sixth grader weighs 90 pounds, which is 120% of what he weighed in fourth grade. How much did he weigh in fourth grade?
Answer:75
Step-by-step explanation:
what is 602,107 in word form
Marco went bowling and spent a total of $21. This included the shoe rental of $7. He bowled 4 games. How much did each game cost? A. $3.50 B. $3.66 C. $4.25 D. $7.00
What value should go in the empty boxes to complete the calculation for finding the product of
0.98 × 0.73? Both numbers are the same; however, only input the number one time in your answer.
Answer:
The number is 6
Step-by-step explanation:
8*7=56, 9*7+5=68, 6860.
hope this helps
To find the product of 0.98 × 0.73, multiply the digits in the tenths and hundredths places and combine the products.
Explanation:To find the product of 0.98 × 0.73, you need to multiply these two numbers together. First, eliminate any extra zeros in the decimals. Then, multiply the digits in the tenths place (8 × 7) and the digits in the hundredths place (9 × 3). Finally, combine the two products to find the final answer.
0.98 can be written as 0.981 and 0.73 can be written as 0.731.
Multiply the digits in the tenths place: 8 × 7 = 56;Multiply the digits in the hundredths place: 9 × 3 = 27;Combine the two products: 56 + 27 = 83.Therefore, the product of 0.98 × 0.73 is 0.83.
Learn more about Multiplication Operation here:https://brainly.com/question/33799820
#SPJ2
if there are 15 cats in the apartment complex how many dogs are there
Answer:
Step-by-step explanation:
A pound of beans costs $4.70. Mrs. Patel buys 6.5 pounds of beans. How much dose she pay for the beans ?
If a fraction is greater than 1, what do you know about its reciprocal
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
A) 33 miles
B) 83 miles
C) 120 miles
D) 270 miles
Answer:
D-270
Step-by-step explanation:
Maggie bought 52 ounces of swordfish selling for $6.92 per pound. What was the total cost? And explain how u solved it
To find the total cost of 52 ounces of swordfish at a price of $6.92 per pound, you need to convert the weight from ounces to pounds and then multiply it by the price per pound. The total cost is $22.51.
Explanation:To find the total cost, you need to convert the weight of the swordfish from ounces to pounds and then multiply it by the price per pound. Here's how:
Convert 52 ounces to pounds: 52 ounces ÷ 16 ounces/pound = 3.25 poundsMultiply the weight in pounds by the price per pound: 3.25 pounds × $6.92/pound = $22.51So, the total cost of 52 ounces of swordfish at a price of $6.92 per pound is $22.51.
Learn more about Calculating Total Cost here:https://brainly.com/question/17313965
#SPJ11
evaluate the expression, using the given value of the variable z÷3-5z+4 (z-2) when z=12
The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those players that season is 4.
Determine if the following statement is true, is false, or does not contain enough information.
At least one player scored exactly 5 goals.
True
False
Not enough
The statement is true for At least one player scored exactly 5 goals.
What are median?Median represents the middle value of the given data when arranged in a particular order.
We have been given median number of goals scored by 7 players in a certain soccer season is 5.
We need to determine if the following statement is true, is false, or does not contain enough information, At least one player scored exactly 5 goals.
The range of a set of data is the difference between the largest value and the smallest value.
The range of the number of goals scored by those players that season is 4.
So, The statement is true for At least one player scored exactly 5 goals.
Learn more about mean and median, click here at;
https://brainly.com/question/17060266
#SPJ2